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Finding the Fourth Proportional to 204,411.66, 282,097.38 and 113,773.43

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Solution

The fourth proportional to 204,411.66, 282,097.38 and 113,773.43 is: 157,012.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    204,411.66 : 282,097.38 = 113,773.43 : x
  2. Step 2: Convert to fraction form
    204,411.66/282,097.38 = 113,773.43/x
  3. Step 3: Cross multiply
    204,411.66x = 282,097.38 × 113,773.43
  4. Step 4: Simplify right side
    204,411.66x = 32,095,186,516.61
  5. Step 5: Solve for x
    x = 32,095,186,516.61/204,411.66
  6. Step 6: Final answer
    x = 157,012.50

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.